GRAPH THESE EQUATIONS TO FIND THE PAIR OF X AND Y VALUES THAT IS A SOLUTION TO BOTH EUATIONS
Y=X-1
Y=-X+3
ok, graph them. Where do they cross?
To find the pair of x and y values that is a solution to both equations, we can graph the equations on a Cartesian plane and find the point(s) where they intersect.
Let's start with the first equation, y = x - 1. We can start by creating a table of values:
X | Y
-----
0 | -1
1 | 0
2 | 1
We can plot these points on the graph.
Next, let's plot the second equation, y = -x + 3. Again, we create a table of values:
X | Y
-----
0 | 3
1 | 2
2 | 1
Plotting these points on the same graph, we should end up with two lines.
The point(s) of intersection between these two lines represent the pair(s) of x and y values that are solutions to both equations. In this case, there is only one intersection point, which we can find by visually identifying it on the graph.
By observing the graph, we can see that the intersection point is (2, 1). Thus, the pair of x and y values that is a solution to both equations is (2, 1).